After the observation of the LHCb Collaboration, these two new states were studied by simple quark model [1]}. In [2]}, the molecular nature of \(X_0(2900)\)  state is investigated. They extracted the mass positions of its heavy quark spin partners. Possible partners of \(X_{0,1}(2900)\)  were studied by two-body Coulomb and chromomagnetic interactions in [1]}. In [4]}, triangle singularity of \(X_0(2900)\)  and \(X_1(2900)\)  was studied in the \(B^+ \rightarrow D^+ D^- K^+\)  decay via the \(\chi _{c1}K^{\ast +} D^{\ast -}\)  and \(D_{sJ}^+ \bar{D}_1^0 K^0\)  rescattering diagrams. QCD Sum Rules method was applied in [5]} by using four possible interpolating currents with \(J^P=0^+\) . The mass spectra of open charm and bottom tetraquarks \(qq\bar{q}\bar{Q}\)  within an extended relativized quark model is calculated in [6]}. \(D^{(\ast )}K^{(\ast )}\)  system was studied within one-boson exchange model in molecular picture [7]}. Molecular of compact tetraquark pictures of \(X_0(2900)\)  and \(X_1(2900)\)  were studied by QCD Sum Rules in [8]}. They concluded \(X_0(2900)\)  as a molecule state and \(X_1(2900)\)  as compact diquark-antidiquark tetraquark state. In [9]}, axialvector-diquark-axialvector-diquark type and scalar-diquark-scalar-diquark type fully open flavor tetraquark states with \(J^P=0^+\)  were studied in QCD Sum Rules method. \(X_0(2900)\)  and \(X_1(2900)\)  states are studied whether two-body strong decays into \(D^- K^+\)  via triangle diagrams and three-body decays into \(D^\ast \bar{K} \pi \)  [10]}. In [11]}, \(X_0(2900)\)  and \(X_1(2900)\)  are studied in qBSE approach. Tetraquarks composed of \(ud\bar{s}\bar{c}\)  are investigated with meson-meson and diquark-antidiquark structures in the quark delocalization color screening mode [10]}. Two states (\(1^+\)  and \(2^+ \) )stemming from the \(D^\ast \bar{K}^\ast \)  interaction was studied in [11]}. In [14]}, the LHCb vector \(ud\bar{c}\bar{s}\)  state X(2900) was studied whether it can be interpreted as a triangle cusp effect arising from \(\bar{D}^\ast K^\ast \) and \(D_1K^(\ast )\)  interactions. Mass and coupling of \(X_0(2900\) ) are determined using the QCD two-point sum rule method in [15]}. Branching ratios of \(B^- \rightarrow D^- X_{0,1}(2900)\)  was studied in [16]}.
